A Random Sample of 160 Car Accidents Are Selected and Categorized

question 42

Multiple Choice

A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the given categories is $18 \%$ for the under 26 group, $39 \%$ for the $26 - 45$ group, $31 \%$ for the $45 - 65$ group, and $12 \%$ for the group over 65 . Find the rejection region used to test the claim that all ages have crash rates proportional to their number of drivers. Use $\alpha = 0.05$ .
$\begin{array}{l|cccc}\text { Age } & \text { Under 26 } & 26-45 & 46-65 & \text { Over } 65 \\\hline \text { Drivers } & 66 & 39 & 25 & 30\end{array}$

• A) \(\chi ^ { 2 } > 6.251\)
• B) \(\chi ^ { 2 } > 7.815\)
• C) \(\chi ^ { 2 } > 11.143\)
• D) \(\chi ^ { 2 } > 9.348\)

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Definitions:

Work Stress

The emotional and physical strain caused by work demands and pressures that exceed an individual's capacity to cope, potentially affecting health and work performance.

Positive And Negative Effects

Refers to the outcomes of any action or decision, where positive effects are beneficial and negative effects are harmful or undesirable.

Stress And Performance

The relationship between an individual's stress levels and their capacity to perform tasks, typically suggesting that moderate stress can enhance performance up to a point beyond which performance declines.

Moderate Levels

An intensity or degree of a factor that is considered average or within acceptable bounds.